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8452052928 = 26321117131599
BaseRepresentation
bin1111101111100100…
…00001011111000000
3210211001000202221100
413313302001133000
5114302211143203
63514404454400
7416310156504
oct76762013700
923731022840
108452052928
113647a66510
12177a6aa400
13a490ab367
145a273c304
15347041ea3
hex1f7c817c0

8452052928 has 336 divisors, whose sum is σ = 28243987200. Its totient is φ = 2388172800.

The previous prime is 8452052927. The next prime is 8452052933. The reversal of 8452052928 is 8292502548.

8452052928 is a `hidden beast` number, since 84 + 5 + 20 + 529 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8452052923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14109973 + ... + 14110571.

Almost surely, 28452052928 is an apocalyptic number.

8452052928 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8452052928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14121993600).

8452052928 is an abundant number, since it is smaller than the sum of its proper divisors (19791934272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8452052928 is a wasteful number, since it uses less digits than its factorization.

8452052928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 8452052928 is about 91935.0473323422. The cubic root of 8452052928 is about 2036.9829912478.

The spelling of 8452052928 in words is "eight billion, four hundred fifty-two million, fifty-two thousand, nine hundred twenty-eight".